16.571 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.018 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.019 * * [simplify]: iteration 2 : 12 enodes (cost 4 ) 0.021 * * [simplify]: iteration done : 12 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (log (hypot re im)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (log (hypot re im)) in (re im) around 0 0.031 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 0.031 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.031 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.031 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.031 * [taylor]: Taking taylor expansion of (* re re) in im 0.031 * [taylor]: Taking taylor expansion of re in im 0.031 * [taylor]: Taking taylor expansion of re in im 0.031 * [taylor]: Taking taylor expansion of (* im im) in im 0.031 * [taylor]: Taking taylor expansion of im in im 0.031 * [taylor]: Taking taylor expansion of im in im 0.033 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.033 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.033 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.033 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.033 * [taylor]: Taking taylor expansion of (* re re) in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of (* im im) in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.034 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.034 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.034 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.034 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.034 * [taylor]: Taking taylor expansion of (* re re) in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of (* im im) in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of (log im) in im 0.035 * [taylor]: Taking taylor expansion of im in im 0.037 * [taylor]: Taking taylor expansion of 0 in im 0.039 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.039 * [taylor]: Taking taylor expansion of 1/2 in im 0.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [approximate]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.046 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 0.046 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.046 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.046 * [taylor]: Taking taylor expansion of re in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.046 * [taylor]: Taking taylor expansion of re in im 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.047 * [taylor]: Taking taylor expansion of im in im 0.050 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.050 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.050 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.050 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.050 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.050 * [taylor]: Taking taylor expansion of re in re 0.050 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.050 * [taylor]: Taking taylor expansion of re in re 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.050 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.050 * [taylor]: Taking taylor expansion of im in re 0.050 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.050 * [taylor]: Taking taylor expansion of im in re 0.053 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.053 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.053 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.054 * [taylor]: Taking taylor expansion of re in re 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.054 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.054 * [taylor]: Taking taylor expansion of im in re 0.054 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.054 * [taylor]: Taking taylor expansion of im in re 0.057 * [taylor]: Taking taylor expansion of (- (log re)) in im 0.057 * [taylor]: Taking taylor expansion of (log re) in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.058 * [taylor]: Taking taylor expansion of 0 in im 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.062 * [taylor]: Taking taylor expansion of 1/2 in im 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [approximate]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 0.071 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.071 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.071 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.071 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.071 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.071 * [taylor]: Taking taylor expansion of -1 in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.071 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.071 * [taylor]: Taking taylor expansion of -1 in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.071 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.071 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.071 * [taylor]: Taking taylor expansion of -1 in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.072 * [taylor]: Taking taylor expansion of -1 in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.079 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.079 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.079 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.079 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.079 * [taylor]: Taking taylor expansion of -1 in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.079 * [taylor]: Taking taylor expansion of -1 in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.080 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.080 * [taylor]: Taking taylor expansion of -1 in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.080 * [taylor]: Taking taylor expansion of -1 in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.083 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.083 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.083 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.083 * [taylor]: Taking taylor expansion of -1 in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.083 * [taylor]: Taking taylor expansion of -1 in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.083 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.083 * [taylor]: Taking taylor expansion of -1 in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.084 * [taylor]: Taking taylor expansion of -1 in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (- (log re)) in im 0.087 * [taylor]: Taking taylor expansion of (log re) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of 1/2 in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.100 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying using # : (expm1 (log (hypot re im))) (log1p (log (hypot re im))) (log (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (log (cbrt (hypot re im))) (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) (log 1) (log (hypot re im)) (log (hypot re im)) (log (log (hypot re im))) (exp (log (hypot re im))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (cbrt (log (hypot re im))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (sqrt (log (hypot re im))) (sqrt (log (hypot re im))) (log im) (- (log (/ 1 re))) (- (log (/ -1 re))) 0.101 * * [simplify]: iteration 0 : 29 enodes (cost 107 ) 0.105 * * [simplify]: iteration 1 : 38 enodes (cost 103 ) 0.110 * * [simplify]: iteration 2 : 44 enodes (cost 90 ) 0.116 * * [simplify]: iteration 3 : 61 enodes (cost 90 ) 0.125 * * [simplify]: iteration 4 : 92 enodes (cost 90 ) 0.137 * * [simplify]: iteration 5 : 125 enodes (cost 90 ) 0.158 * * [simplify]: iteration 6 : 159 enodes (cost 90 ) 0.184 * * [simplify]: iteration 7 : 234 enodes (cost 90 ) 0.241 * * [simplify]: iteration 8 : 447 enodes (cost 90 ) 0.615 * * [simplify]: iteration 9 : 1371 enodes (cost 90 ) 2.564 * * [simplify]: iteration done : 5001 enodes (cost 90 ) 2.564 * [simplify]: Simplified to: (expm1 (log (hypot re im))) (log1p (log (hypot re im))) (* 2 (log (cbrt (hypot re im)))) (log (cbrt (hypot re im))) (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) 0 (log (hypot re im)) (log (hypot re im)) (log (log (hypot re im))) (hypot re im) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (cbrt (log (hypot re im))) (pow (log (hypot re im)) 3) (sqrt (log (hypot re im))) (sqrt (log (hypot re im))) (log im) (log re) (- (log re) (log -1)) 2.564 * * * [progress]: adding candidates to table 2.601 * [progress]: [Phase 3 of 3] Extracting. 2.602 * [simplify]: Simplifying using # : (log (hypot re im)) 2.603 * * [simplify]: iteration 0 : 4 enodes (cost 4 ) 2.603 * * [simplify]: iteration done : 4 enodes (cost 4 ) 2.603 * [simplify]: Simplified to: (log (hypot re im)) 3.089 * [regime-testing]: End program error score: 0.00012501562695336918